What is expand ((x^3+1)dx)/(x^2) ?

The solution to expand ((x^3+1)dx)/(x^2) is xdx+(dx)/(x^2)

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expand ((x^3+1)dx)/(x^2)

expand

\frac{( x ^{3} + 1 ) d x}{x ^{2}}

x d x + \frac{d x}{x ^{2}}

Solution steps

\frac{( x ^{3} + 1 ) d x}{x ^{2}}

Expand

(x^{3} + 1) d x : x^{3} d x + d x

= \frac{x ^{3} d x + d x}{x ^{2}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x ^{3} d x + d x}{x ^{2}} = \frac{x ^{3} d x}{x ^{2}} + \frac{d x}{x ^{2}}

= \frac{x ^{3} d x}{x ^{2}} + \frac{d x}{x ^{2}}

Cancel

\frac{x ^{3} d x}{x ^{2}} : x d x

= x d x + \frac{d x}{x ^{2}}

\frac{d}{d y} ((x) (x^{2} + x))

(sin (y) - y sin (x)) d y

e^{2 x} (y - 2)

- 2 (4 x ln (x) + 2 x)

\frac{3 y ( 4 y + 1 )}{7 ( 4 y - 1 )}

What is expand ((x^3+1)dx)/(x^2) ?
The solution to expand ((x^3+1)dx)/(x^2) is xdx+(dx)/(x^2)